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中文摘要：
目的系统探讨不变量理论的历史演变。方法文献考证和历史分析。结果英国学派的工作奠定了不变量理论的基础，德国学派发明的符号方法使经典不变量理论达到了真正的繁荣和成熟，希尔伯特的工作从根本上改变了不变量理论的研究方向。抽象代数的发展，组合学的进步，计算机科学的发展和计算机代数学的出现为不变量理论注入了新的活力；在数学、物理学、计算机科学等领域中的广泛应用使其获得重生。结论代数不变量作为不变量的重要一类，对20世纪整个数学乃至物理学的发展产生了广泛而深刻的影响。
英文摘要：
Aim To systematically discuss and research the history of algebraic invariant theory. Methods Literature investigation and historical analysis. Results British school＇s work laid the foundation for the theory of invariants, Germany School＇s symbolic method of classic invariant theory made it the real prosperity and mature, Hilbert＇ s work fundamentally changed the invariant theory research. The development of abstract algebra, combinatory, computer science and the rise of computer algebra injected new vitality into invariant theory ; the extensive application in mathematics, physics, computer science and other fields made it to be reborn. Conclusion Algebraic invariant as an important sort of invariant, has had widespread and the profound influence on entire mathematics and even the physics development in 20th century.
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